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Finding the Third Proportional to 114,057 and 274,428

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Solution

The third proportional to 114,057 and 274,428 is: 660,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,057 : 274,428 = 274,428 : x
  2. Step 2: Convert to fraction form
    114,057/274,428 = 274,428/x
  3. Step 3: Cross multiply
    114,057x = 274,428 × 274,428
  4. Step 4: Simplify right side
    114,057x = 75,310,727,184
  5. Step 5: Solve for x
    x = 75,310,727,184/114,057
  6. Step 6: Final answer
    x = 660,290.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.